9 citations · 11 across the 6 of their papers we have counts for
6 papers
Local Ramsey theory. An abstract approach
Carlos Di Prisco, Jose G. Mijares, Jesus Nieto
Given a topological Ramsey space , we extend the notion of semiselective coideal to sets and study conditions for …
Infinitary Hales-Jewett theorem. Another proof
Jesús E. Nieto
We give a proof of an infinitary version of the well known Hales-Jewett theorem on finite words avoiding the use of ultrafilters.
Another proof of a Gowers theorem
Jesús E. Nieto
W. T. Gowers proved that every Lipschitz function from the unit sphere of the Banach space to is oscilation stable. His proof uses a result about finite partitio…
A parametrization of the abstract Ramsey theorem
Jose G. Mijares, Jesus Nieto
We give a parametrization with perfect subsets of of the abstract Ramsey theorem (see \cite{todo}) Our main tool is an extension of the parametrized version of the com…
Coideals of block sequences
José G. Mijares, Jesús Nieto
We extend the well known notion of \textit{coideal} on to families of block sequences on and prove that if a coideal of block sequences is \textit{semiselectiv…
Local Ramsey theory. An abstract approach
José Mijares, Jesús Nieto
It is shown that the known notion of selective coideal can be extended to a family of subsets of , where is a topological Ramsey s…